Mathematics Calculators (Page 3)
Percentages, equations, geometry, algebra and more math tools.
3D Geometry: Cone / Sphere / Cylinder / Pyramid Volume & Surface Area
Pick a cone, sphere, cylinder or square-based pyramid, enter radius, height and slant height to get volume, total and lateral surface area.
Locus Equations Calculator (Equidistant Points / Point & Line / Fixed Point)
Enter two points, a focus with directrix, or a center with radius to generate the perpendicular bisector, parabola or circle locus equation.
Binomial Expansion (a + bx)ⁿ — Coefficients & Terms
Enter (a + bx)ⁿ to expand it fully, list each coefficient, and get the coefficient of the x^k term.
Trapezoidal Rule — Numerical Integration
Enter [a, b] and subintervals n to estimate ∫f(x)dx by the trapezoidal rule for f(x)=p₀+p₁x+p₂x²+p₃x³, with per-trapezoid areas.
Limits Calculator (with L'Hôpital's Rule)
Enter f(x) and a point a or ∞ to estimate two-sided and one-sided limits, with automatic 0/0 and ∞/∞ indeterminate-form detection.
Derivative & Higher-Order Derivative Calculator
Enter f(x) and a point a to compute f'(a) and f''(a) numerically, with product/quotient/chain rule notes.
Integration Calculator: Definite (numeric) & Indefinite (antiderivative)
Enter f(x) and [a,b]; compute the definite integral by Simpson's rule and show the analytic antiderivative for common functions, with substitution and by-parts notes.
Taylor & Maclaurin Series Expander
Expand sin, cos, eˣ, ln(1+x), 1/(1−x) and polynomials about center a into the first n terms, with coefficients and a sample comparison.
Partial Derivatives Calculator
Enter f(x,y) and a point (x₀,y₀) to compute ∂f/∂x, ∂f/∂y and the mixed partial numerically.
Separable Differential Equations Solver (dy/dx = g(x)·h(y))
Enter dy/dx = g(x)·h(y), initial y(x₀)=y₀ and target x; compute the particular solution y(x) by RK4 and show the separated form.
Cramer's Rule Solver (3×3 Linear System)
Enter the 9 coefficients and constants of a 3×3 linear system; solve x, y, z by Cramer's rule and show determinant D.
Vector Calculator (Dot / Cross / Add-Sub / Angle / Projection)
Enter 2D/3D vectors A, B to compute addition, subtraction, dot product, cross product, magnitudes, angle and projection.